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Finding the Fourth Proportional to 205,413.60, 308,437.20 and 112,101.60

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Solution

The fourth proportional to 205,413.60, 308,437.20 and 112,101.60 is: 168,325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,413.60 : 308,437.20 = 112,101.60 : x
  2. Step 2: Convert to fraction form
    205,413.60/308,437.20 = 112,101.60/x
  3. Step 3: Cross multiply
    205,413.60x = 308,437.20 × 112,101.60
  4. Step 4: Simplify right side
    205,413.60x = 34,576,303,619.52
  5. Step 5: Solve for x
    x = 34,576,303,619.52/205,413.60
  6. Step 6: Final answer
    x = 168,325.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.